The Entanglement Entropy of Solvable Lattice Models

Details The Entanglement Entropy of Solvable Lattice Models The Entanglement Entropy of Solvable Lattice Models

2006-01-19

arxiv.org/abs/math-ph/0601038v3

J.Stat.Mech.0603:L03002,2006

Physics

Mathematical Physics

6 pages; connection with boundary entropy of Affleck and Ludwig added in revised version and notation slightly changed

Scientific paper

10.1088/1742-5468/2006/03/L03002

We consider the spin k/2 analogue of the XXZ quantum spin chain. We compute the entanglement entropy S associated with splitting the infinite chain into two semi-infinite pieces. In the scaling limit, we find S ~ c_k/6 (ln(xi))+ln(g)+... . Here xi is the correlation length and c_k=3k/(k+2) is the central charge associated with the sl_2 WZW model at level k. ln(g) is the boundary entropy of the WZW model. Our result extends previous observations and suggests that this is a simple and perhaps rather general way both of extracting the central charge of the ultraviolet CFT associated with the scaling limit of a solvable lattice model, and of matching lattice and CFT boundary conditions.

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